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Finding the Fourth Proportional to 3,564.42, 5,346.54 and 967.29

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Solution

The fourth proportional to 3,564.42, 5,346.54 and 967.29 is: 1,450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.42 : 5,346.54 = 967.29 : x
  2. Step 2: Convert to fraction form
    3,564.42/5,346.54 = 967.29/x
  3. Step 3: Cross multiply
    3,564.42x = 5,346.54 × 967.29
  4. Step 4: Simplify right side
    3,564.42x = 5,171,654.68
  5. Step 5: Solve for x
    x = 5,171,654.68/3,564.42
  6. Step 6: Final answer
    x = 1,450.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.